What is the 5104th prime number?
The 5104th prime number is 49697. The next prime is 49711 (a gap of 14) and the one before is 49681.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5104th one is 49697.
- 2
49697 is prime because no prime up to ā49697 ā 222.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5104th prime is close to 5104 Ć ln(5104) ā 43577, and here it is 49697.
- 4
49697 has no twin: neither 49695 nor 49699 is prime.
Primes around the 5104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5101 | 49667 | 4 |
| 5102 | 49669 | 2 |
| 5103 | 49681 | 12 |
| 5104 | 49697 | 16 |
| 5105 | 49711 | 14 |
| 5106 | 49727 | 16 |
| 5107 | 49739 | 12 |
Questions
What is the 5104th prime number?
49697.
Which prime number is 49697?
49697 is the 5104th prime number.
What is the sum of the first 5104 primes?
119,567,593.